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Finding the Fourth Proportional to 6,485.04, 9,727.56 and 2,589.48

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Solution

The fourth proportional to 6,485.04, 9,727.56 and 2,589.48 is: 3,884.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.04 : 9,727.56 = 2,589.48 : x
  2. Step 2: Convert to fraction form
    6,485.04/9,727.56 = 2,589.48/x
  3. Step 3: Cross multiply
    6,485.04x = 9,727.56 × 2,589.48
  4. Step 4: Simplify right side
    6,485.04x = 25,189,322.07
  5. Step 5: Solve for x
    x = 25,189,322.07/6,485.04
  6. Step 6: Final answer
    x = 3,884.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.